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galina1969 [7]
2 years ago
6

Select the correct answer.

Mathematics
1 answer:
mixas84 [53]2 years ago
6 0

The inverse of matrix is (43, -11, 2).

<h3>What is inverse of matrix?</h3>

A matrix is a multidimensional generalization of the concept of reciprocal of a number: the product between a number and its reciprocal is equal to 1; the product between a square matrix and its inverse is equal to the identity matrix.

given equation:

x + 5y + 10z = 8

y + 4z = -3

x+6y + 15z = 7

The cofactors of the matrix is

C_11 = -9

C_12= 4

C_13=-1

C_21 = -15

C_22= 5

C_23 = -1

C_31= 10

C_32= -4

C_33= 1

​

The cofactor matrix is,

\left[\begin{array}{ccc}-9 & 4 & -1\\-15 & 5 & -1\\10 & -4 & 1\end{array}\right]

The transpose of matrix,

\left[\begin{array}{ccc}-9 & -15 & 10\\4 & 5 & -4\\1 & -1 & 1\end{array}\right]

The determinant of matrix is = 21.

The augmented matrix is attached below

Hence, the inverse of matrix is (43, -11, 2).

Learn more about this concept here:

brainly.com/question/13253064

#SPJ1

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Is X-13=x+1 true or false
Black_prince [1.1K]

Answer: FALSE.

Step-by-step explanation:

Given the following equation provided in the exercise:

x-13=x+1

You need to solve for the variable "x".

In order to solve for "x" you can folllow the steps shown below:

1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:

x-13+(13)=x+1+(13)\\\\x=x+14

2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:

x-(x)=x+14-(x)\\\\0=14\ (FALSE)

Therefore, as you can observe, the given equation has no solutions.

3 0
3 years ago
Help!
nikklg [1K]

Answer:

E      

Step-by-step explanation:

19)        Amount of oil in   =    amount of oil in final product

       .025(x) + .09(40-x)    =    .055(40)      (x = 2.5% amt   40 - x = 9% amt)

  x = 21.54 L  of   2.5 %     then 9% = 18.46 L

3 0
2 years ago
Please help!! Will mark Brainliest answer!! I have the answers I only need the step by step process!
Makovka662 [10]

Answer:

Step-by-step explanation:

Y = 3x  + 16 - 27

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7 0
3 years ago
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3y - 2 = y + 4
blagie [28]
Well.. There's 3y-2=y+4 right?
Add 2 and you get 3y=y+6
Minus y- you get 2y=6
Divide it at 2 and you get y=3.
Sorry for the explanation but I'm from another country and this is the best I can
6 0
3 years ago
Two quantities are related, as shown in the table:
-Dominant- [34]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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